It is a partial differential equation satisfied by the electric field e.

这是一个，由电场e确定的偏微分方程。

It is a new method to generate surfaces with partial differential equation (PDE).

用偏微分方程(PDE)构造曲面是一种新兴的曲面造型方法。

Partial differential equation is widely used in problems of science and engineering.

偏微分方程在科学和工程上有着广泛的应用。

The partial differential equation is solved by Alternating Direction Implicit algorithm.

采用交替方向隐式算法求解偏微分方程。

At last, an application of this problem in partial differential equation is also discussed.

最后，给出了上述问题在偏微分方程方面的一个应用。

And a partial differential equation is some relation between its partial derivatives. Let me see.

而一个偏微分方程就是，函数各个偏导之间的联系，看看。

This paper discusses a new partial differential equation model for resolution enhancement of image.

讨论一种新的图像分辨率增强的偏微分方程模型。

A partial differential equation is an equation that involves the partial derivatives of a function.

偏微分方程就是，跟函数各个偏导数有关的方程。

Basically, to every problem you might want to consider there is a partial differential equation to solve.

总的来讲，所有你想解决的问题，都可以用偏微分方程来做。

And just to tell you again that is a strange partial differential equation relating these two vector fields.

再说明一下，这是关于这两个向量场，多少有点奇怪的偏微分方程。

In recent years, many partial differential equation problems are also appeared in life science and economics.

近年来，在生命科学、经济学中也出现了大量的偏微分方程问题。

This paper uses the method of establishing the convex envelope, giving a proof in Partial Differential Equation.

本文利用构造凸包络的方法，给出了该定理偏微分上的证明。

An effective method for solving a partial differential equation of secondary hydrocarbon migration is put forward.

本文给出了一种高效率求解油气二次运移偏微分方程的方法。

The partial differential equation of flow in porous medium has been studied with variational finite element method.

用变分有限元方法对描述地下流体渗流的偏微分方程进行了分析。

This paper proposes a new method of solving the high order linear partial differential equation by means of Walsh Series.

本文提出了用沃尔什级数求解高阶线性偏微分方程的一种新方法。

The fist integration is mainly used tO form the initial value solution of fist order quasi-linear partial differential equation.

本文主要用首次积分法构造一阶拟线性偏微分方程始值问题的解。

A nonlinear partial differential equation model based on nonlocal information was proposed to remove noise and preserve the edges.

针对传统扩散模型中的边界模糊问题，提出一种基于非局部信息的非线性偏微分方程去噪模型。

In physics, the physical parameter evolution along with the time is often controlled by the non-linear partial differential equation.

在物理学中，物理参量随时间的演化往往是由非线性的偏微分方程支配的。

A condition of a one-order quasilinear partial differential equation of a traffic model forming unique shock wave is given end proved.

本文讨论了一交通模型的一阶拟线性偏微分方程激波产生唯一性的条件并给了严格的证明。

It is very difficult to get analytic solution except some very specific cases for the model owing to nonlinear partial differential equation.

由于非饱和流动的数学模型归结为非线性的偏微分方程，除了一些很特殊的情况外，很难得到解析解。

In this paper, we study the pricing problem of the perpetual Bermudan option with jump-diffusion by PDE (partial differential equation) method.

采用偏微分方程方法讨论了带跳扩散项的永久百慕大期权定价问题。

It includes the following aspects:adopting the Partial Differential Equation and Neighborhood Average smoothing methods to reduce image noises.

采用图像相加、偏微分、邻域平均等方法来消除图像噪声；

In this paper, we get a method to solve a non-linear RH problem by the Cauchy-Riemann conditions and the theories of partial differential equation.

利用柯西黎曼条件和偏微分方程理论，得到了一类非线性RH问题的求解方法，并通过实例表明该方法是可行的。

According to Terzaghi consolidation theory, the partial differential equation and filtration formula of the change diameter screw compression were induced.

根据太沙基固结理论推导出了变径螺旋压榨压方程，得出了压榨速率的表达式。

The algorithm for a class of optimal control problem where the state variables are the weak solution of an elliptic partial differential equation is studied.

研究一类最优控制问题的求解方法，其状态变量是某一种椭圆型偏微分方程的弱解。

In this paper we constructed an exponentially fitted difference scheme for singular perturbation problem of hyperbolic-parabolic partial differential equation.

本文对双曲-抛物偏微分方程奇异摄动问题构造了一个指数型拟合差分格式。

According to the diffusibility of the photons transmission, numerical solution of photon transmission partial differential equation was deduced with finite element.

依据光子传输的扩散性，用有限元法导出光子传输扩散偏微分方程的数值解。

According to the assumption of slightly compressible fluid, neglected the quadratic gradient term in nonlinear partial differential equation is usually lead to error.

在非线性偏微分方程中，根据弱可压缩液体的假设，忽略二次梯度项，在试井较长时间内将产生误差。

But this partial differential equation can not be directly integral, so usually use Navier method, Rayleigh Ritz method and finite difference method and other methods.

但这一偏微分方程不能直接积分，所以通常用纳维法、瑞利-里兹法、有限差分方法等方法求解。

One of the field variables is considered as a function of other variables and time, and the fundamental partial differential equation for the function is established.

将一个场变量取作为其余场变量和时间的函数并对这个函数建立基本偏微方程。